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Finding the Fourth Proportional to 4,257.59, 6,385.65 and 1,295.32

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Solution

The fourth proportional to 4,257.59, 6,385.65 and 1,295.32 is: 1,942.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,257.59 : 6,385.65 = 1,295.32 : x
  2. Step 2: Convert to fraction form
    4,257.59/6,385.65 = 1,295.32/x
  3. Step 3: Cross multiply
    4,257.59x = 6,385.65 × 1,295.32
  4. Step 4: Simplify right side
    4,257.59x = 8,271,431.14
  5. Step 5: Solve for x
    x = 8,271,431.14/4,257.59
  6. Step 6: Final answer
    x = 1,942.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.